Question

triangles below are congruent and their corresponding parts are marked.
name all the corresponding congruent angles and sides.
then, complete the triangle congruence statement.
(a) $\angle a \cong \angle \square$ (b) $\overline{ab} \cong \overline{\square}$
$\angle b \cong \angle \square$ $\overline{ac} \cong \overline{\square}$
$\angle c \cong \angle \square$ $\overline{bc} \cong \overline{\square}$
(c) $\triangle bca \cong \triangle \square$

Explanation:

Step1: Match congruent angles

$\angle A \cong \angle X$, $\angle B \cong \angle Z$, $\angle C \cong \angle Y$

Step2: Match congruent sides

$\overline{AB} \cong \overline{XZ}$, $\overline{AC} \cong \overline{XY}$, $\overline{BC} \cong \overline{ZY}$

Step3: Write congruence statement

$\triangle BCA \cong \triangle ZYX$

Answer:

(a) $\angle A \cong \angle X$, $\angle B \cong \angle Z$, $\angle C \cong \angle Y$
(b) $\overline{AB} \cong \overline{XZ}$, $\overline{AC} \cong \overline{XY}$, $\overline{BC} \cong \overline{ZY}$
(c) $\triangle BCA \cong \triangle ZYX$